Question

In triangle XYZ, XYZ 90 YXZ 60 YZX 30 XY 4cm then find XZ

Answer 1

Answer:

XZ=8CM

Step-by-step explanation:

as per the given information it is prove that the above Triangle is 30°60° 90° Triangle

by 30-60-90 theorem,

s

$side \: opposite \: to \: 30 = \frac{1}{2} \times hypotenuse$

XY=½XZ

XZ=2×XY

XZ=2×4

XZ=8 cm

Answer 2

The length of side XZ = 8 cm

Explanation:

In the figure (given in the attachment),

In triangle XYZ is a right triangle with ∠Y= 90° , ∠YXZ=60° , ∠YZX = 30° and XY=4 cm.

Since , $\tan \theta=\dfrac{perpendicular}{base}$

So , $\sin Z=\dfrac{XY}{XZ}$

$\Rightarrow\sin30^{\circ}=\dfrac{4}{XZ}\\\\\Rightarrow\ \dfrac{1}{2}=\dfrac{4}{XZ}\\\\\Rightarrow\ XZ=4\times2=8$

Hence, XZ = 8 cm.

# Learn more :

In ∆xyz,right angle is at y,yz=x,and xz=2x then determine angle yxz and angle yzx

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